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Finding the Third Proportional to 624,471 and 1,473,661.50

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Solution

The third proportional to 624,471 and 1,473,661.50 is: 3,477,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,471 : 1,473,661.50 = 1,473,661.50 : x
  2. Step 2: Convert to fraction form
    624,471/1,473,661.50 = 1,473,661.50/x
  3. Step 3: Cross multiply
    624,471x = 1,473,661.50 × 1,473,661.50
  4. Step 4: Simplify right side
    624,471x = 2,171,678,216,582.25
  5. Step 5: Solve for x
    x = 2,171,678,216,582.25/624,471
  6. Step 6: Final answer
    x = 3,477,628.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.